Verified answer

[tex]\displaystyle\bf\\1)\\\\5x^{3} -5xy^{2} =5x\cdot(x^{2} -y^{2})=5x\cdot(x-y)\cdot(x+y)\\\\\\2)\\\\a^{18} :a^{15} =a^{18-15}=a^{3}\\\\\\3)\\\\(0,5)^{12} :0,5^{10} =0,5^{12-10} =0,5^{2} =0,25\\\\\\4)\\\\(-2x^{2} y)^{4} =(-2)^{4} \cdot(x^{2} )^{4} \cdot y^{4}=16x^{8} y^{4}[/tex]